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Professor Dr T.E. Simos ‐ CV 10. Y. Ozdemir and M. Kucukunal, A Note on Nonlocal Boundary Value Problems for Hyperbolic Schrodinger Equations, ABSTRACT AND APPLIED ANALYSIS Article Number: 687321 DOI: 10.1155/2012/687321 Published: 2012 11. T. Monovasilis, Phase fitted symplectic partitioned Runge‐Kutta methods for the numerical integration of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 50 Issue: 7 Pages: 1736‐1746 DOI: 10.1007/s10910‐012‐0003‐0 Published: AUG 2012 12. N. Senu, M. Suleiman, F. Ismail and N.M. Arifin, New 4(3) Pairs Diagonally Implicit Runge‐Kutta‐Nystrom Method for Periodic IVPs, DISCRETE DYNAMICS IN NATURE AND SOCIETY Article Number: 324989 DOI: 10.1155/2012/324989 Published: 2012 13. Q.H. Ming, Y.P. Yang, Y.L. Fang, An Optimized Runge‐Kutta Method for the Numerical Solution of the Radial Schrodinger Equation, MATHEMATICAL PROBLEMS IN ENGINEERING Article Number: 867948 DOI: 10.1155/2012/867948 Published: 2012 14. Y. Ozdemir and M. Kucukunal, Numerical Solution of Hyperbolic‐ Schrodinger Equations with Nonlocal Boundary Condition, Editor(s): Ashyralyev, A; Lukashov, A, FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012) Book Series: AIP Conference Proceedings Volume: 1470 Pages: 214‐217 DOI: 10.1063/1.4747678 Published: 2012 15. Y.L. Fang, X. You and Z.X. Chen, New Phase Fitted and Amplification Fitted Numerov‐Type Methods for Periodic IVPs with Two Frequencies, ABSTRACT AND APPLIED ANALYSIS Article Number: 742585 DOI: 10.1155/2012/742585 Published: 2012 16. Y.L. Fang, Q.H. Li, Q.H. Ming, and K.M. Wang, A New Optimized Runge‐Kutta Pair for the Numerical Solution of the Radial Schrodinger Equation, ABSTRACT AND APPLIED ANALYSIS Article Number: 641236 DOI: 10.1155/2012/641236 Published: 2012 17. Xinyuan Wu, Bin Wang, Kai Liu, Hua Zhao, ERKN methods for long‐term integration of multidimensional orbital problems, Applied Mathematical Modelling 37 (2013) 2327–2336 18. J.M. Franco and I. Gómez, Construction of explicit symmetric and symplectic methods of Runge–Kutta–Nyström type for solving perturbed oscillators, Applied Mathematics and Computation 219 (2013) 4637–4649 19. Zhao, JJ (Zhao, Jingjun)[ 1 ] ; Xiao, JY (Xiao, Jingyu)[ 1 ] ; Xu, Y (Xu, Yang)[ 1 ], Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations, ABSTRACT AND APPLIED ANALYSIS Article Number: 857205 DOI: 10.1155/2013/857205 Published: 2013 20. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new modified embedded 5(4) pair of explicit Runge‐Kutta methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 51 Issue: 3 Pages: 937‐953 DOI: 10.1007/s10910‐012‐0127‐2 Published: MAR 2013 Page 191 of 379
Professor Dr T.E. Simos ‐ CV 21. Bildik, Necdet ; Bakir, Yasemin ; Mutlu, Ali, The new modified Ishikawa iteration method for the approximate solution of different types of differential equations, FIXED POINT THEORY AND APPLICATIONS Article Number: 52 DOI: 10.1186/1687‐1812‐2013‐52 Published: MAR 12 2013 22. Kalogiratou, Z (Kalogiratou, Z.), Diagonally implicit trigonometrically fitted symplectic Runge‐Kutta methods, APPLIED MATHEMATICS AND COMPUTATION Volume: 219 Issue: 14 Pages: 7406‐7412 DOI: 10.1016/j.amc.2012.12.089 Published: MAR 15 2013 23. Liu, SW (Liu, Shiwei)[ 1 ] ; Zheng, J (Zheng, Juan)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], A new embedded 5(3) pair of modified Runge‐Kutta‐Nystrom methods for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 52 Issue: 4 Pages: 1081‐1098 Special Issue: SI, DOI: 10.1007/s10910‐014‐0328‐y, Published: APR 2014 24. Yang, YP (Yang, Yanping)[ 1 ] ; Wu, K (Wu, Ke)[ 1 ] ; Fang, YL (Fang, Yonglei)[ 1 ], Exponentially fitted TDRK pairs for the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY, Volume: 53 Issue: 6 Pages: 1470‐1487, DOI: 10.1007/s10910‐015‐0500‐z, Published: JUN 2015 25. Dednam, W (Dednam, W.)[ 1 ] ; Botha, AE (Botha, A. E.)[ 2 ], Optimized shooting method for finding periodic orbits of nonlinear dynamical systems, ENGINEERING WITH COMPUTERS, Volume: 31 Issue: 4 Pages: 749‐762, DOI: 10.1007/s00366‐014‐0386‐6, Published: OCT 2015 Paper [P200] 1. A. Konguetsof, Two‐step high order hybrid explicit method for the numerical solution of the Schrödinger equation, Journal of Mathematical Chemistry, Journal of Mathematical Chemistry, 48(2), 224‐252(2010) Paper [P201] 1. J.I. Ramos, APPLIED MATHEMATICS AND COMPUTATION 181 (1): 123‐146 OCT 1 2006 2. J.I. Ramos, CHAOS SOLITONS & FRACTALS 28 (5): 1306‐1313 JUN 2006 3. You, X (You, Xiong)[ 1 ] ; Zhou, YM (Zhou, Yuanmei)[ 1 ] ; Cheng, XH (Cheng, Xiaohao)[ 1 ], A novel family of P‐stable symmetric extended linear multistep methods for oscillators, APPLIED MATHEMATICS AND COMPUTATION, Volume: 249 Pages: 597‐610, DOI: 10.1016/j.amc.2014.10.061, Published: DEC 15 2014 Paper [P203] 1. B. Neta, P‐stable high‐order super‐implicit and Obrechkoff methods for periodic initial value problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS Volume: 54 Issue: 1 Pages: 117‐126 Published: JUL 2007 Page 192 of 379
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